Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386l |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
1884889588635648 = 211 · 37 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-111582,14221332] |
[a1,a2,a3,a4,a6] |
Generators |
[81:2349:1] |
Generators of the group modulo torsion |
j |
36559182625/448512 |
j-invariant |
L |
4.1106772636462 |
L(r)(E,1)/r! |
Ω |
0.47010514250516 |
Real period |
R |
4.3720828514136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21462ba1 64386m1 |
Quadratic twists by: -3 -7 |